top of page
EXAMPLES & SOLUTIONS
Anchor 1
A coordinate plane is a 2-dimensional surface formed by two intersecting lines that can be graphed to describe points and lines.
The horizontal line of the coordinate plane corresponds to the x-axis.
The vertical line of a coordinate plane corresponds to the y-axis.
These two axis' meet perpendicular at a point called the origin.
Each point of the coordinate plane can combine into a ordered pair.
Two-ordered pair can measure the distance from one point to the other.
4 COORDINATE PLANE QUADRANTS
Explanation the quadrant within a coordinate plane
-4
Quadrant I
(+, +)
4
Quadrant IV
(+, -)
3
4
5
(-, -)
Quadrant III
x-axis
2
-3
-2
-1
-5
-4
1
-2
-1
-3
Quadrant II
(-, +)
y-axis
0
2
3
1
origin
COORDINATE POINTS
How to place points on a coordinate plane
-5
-2
-1
-4
-3
5
3
4
2
1
(+2, +3)
A
(+5, -3)
D
-1
-2
-3
-4
4
3
2
1
(-1, -2)
C
(-3, 2)
B
A: 2 units , from zero, then 3 units = {2,3}
B: 3 units , from zero, then 2 units = {-3,+2}
C: 1 units , from zero, then 2 units = {-1, -2}
D: 5 units , from zero, then 3 units = {+5,-3}
MEASURING THE DISTANCE
Explaining the distance formula
W
3
4
5
2
-5
-4
-3
-2
-1
1
-3
-2
-1
-4
N
4
2
3
(x - x )
1
2
(y - y )
2
A
(2, 3)
B
(4, 2)
1
1
E
S
What is the unit distance from point A to point B?
What is point A:
(2, 3):
x = 2
y = 3
1
1
What is point B:
(4, 2):
x = 4
y = 2
2
2
Substitute the coordinate points
d=
(x - x ) +
(y - y )
2
2
1
2
1
2
d=
(2 - 4 ) +
(3 - 2 )
2
2
d=
(-2) +
(1)
2
2
d=
4 + 1
d=
5 or 2.236 units
bottom of page